Pith Number

pith:54HIWJYX

pith:2016:54HIWJYX7JAV6BYLTIUF7CI4M2

not attested not anchored not stored refs pending

Homotopically Invisible Singular Curves

Andrei A. Agrachev, Antonio Lerario, Francesco Boarotto

arxiv:1603.08937 v1 · 2016-03-29 · math.DG · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54HIWJYX7JAV6BYLTIUF7CI4M2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:18:04.202070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef0e8b2717fa415f070b9a285f891c6693b09fc648c5646fa4d92eb2bfa64162

Aliases

arxiv: 1603.08937 · arxiv_version: 1603.08937v1 · doi: 10.48550/arxiv.1603.08937 · pith_short_12: 54HIWJYX7JAV · pith_short_16: 54HIWJYX7JAV6BYL · pith_short_8: 54HIWJYX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/54HIWJYX7JAV6BYLTIUF7CI4M2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ef0e8b2717fa415f070b9a285f891c6693b09fc648c5646fa4d92eb2bfa64162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f2db238d3b2a624815bd761ded1067ee1b5f589b40efad9f8935fc001903c0",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-29T20:03:44Z",
    "title_canon_sha256": "3702b87cd6c214ea92709a5af3f75cd54084f4dafb327bbc4f424b5477980c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08937",
    "kind": "arxiv",
    "version": 1
  }
}